Fix typos across docs content

[externl]

Fixes ~40 typos across 34 content pages, found during a full editorial review of the docs.

Most are one-word fixes: misspellings (cary → carry, built-it → built-in, ore/ori → or, than → that, "Lean" → "Learn"), duplicated words ("for for", "the the"), wrong names (Programs.cs → Program.cs, Compress-Flag → Compressed-Flag, the cs:: "suffix" that is actually a prefix), and casing ("IceRpc + Slice" → "IceRPC + Slice", "Quic" → "QUIC", greet → Greet). It also code-formats a few Slic frame names (Initialize, InitializeAck, StreamLast) that were plain text and fixes minor punctuation: a missing space after a period, a stray backtick, a double space, -- → em dash, and two garbled frontmatter descriptions.

No meaning changes beyond the corrections themselves.

🤖 Generated with Claude Code

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Pull request overview

This PR applies an editorial pass across the documentation site, correcting spelling/grammar, terminology/casing (e.g., “IceRPC”, “QUIC”), and a few formatting issues in code/grammar snippets without intended meaning changes.

Changes:

• Fixes numerous typos/grammar issues across Slice, IceRPC, and Protobuf documentation pages.
• Normalizes terminology/casing and code formatting in examples and protocol/frame names.
• Cleans up minor punctuation/formatting issues in prose and frontmatter.

Reviewed changes

Copilot reviewed 33 out of 34 changed files in this pull request and generated 1 comment.

Show a summary per file

File	Description
content/slice/language-reference/slice-grammar.md	Capitalization/wording fixes in Slice file/module prose.
content/slice/language-reference/preprocessor-directives.md	Fixes a typo in the conditional grammar production.
content/slice/language-reference/index.md	Fixes missing space after a period in prose.
content/slice/language-guide/well-known-types.md	Corrects “Universally Unique Identifier” wording.
content/slice/language-guide/using-proxies-as-slice-types.md	Fixes frontmatter description grammar.
content/slice/language-guide/struct-types.md	Replaces -- with an em dash in prose.
content/slice/language-guide/result-types.md	Fixes a typo in a C# comment in an example.
content/slice/language-guide/operation.md	Corrects formatting of “NameProxy” reference in note.
content/slice/language-guide/enum-types.md	Fixes a typo in a Slice example comment.
content/slice/language-guide/attributes.md	Corrects “cs::” being a prefix (not suffix).
content/slice/index.md	Adds missing punctuation in a card description.
content/slice/encoding/overview.md	Improves line-wrapping/formatting in introductory prose.
content/slice/basics/contract-first.md	Hyphenates “Contract-first” in title.
content/protobuf/language-mapping/service.md	Improves wording and comments in C# mapping examples.
content/protobuf/encoding.md	Corrects “Compressed-Flag” naming in framing description.
content/icerpc/slic-transport/streams.md	Fixes multiple typos and code-formatting for frame names.
content/icerpc/slic-transport/protocol-frames.md	Code-formats Initialize reference in prose.
content/icerpc/slic-transport/connection-establishment.md	Fixes spacing and code-formatting in establishment steps.
content/icerpc/protocols-and-transports/icerpc-multiplexed-transports.md	Fixes “Lean” → “Learn” in frontmatter description.
content/icerpc/protocol-connection.md	Normalizes “TCP” casing in prose.
content/icerpc/multiplexed-transport.md	Normalizes “QUIC” casing in prose.
content/icerpc/invocation/service-address.md	Fixes “ori” → “or” in service-address prose.
content/icerpc/invocation/invocation-pipeline.md	Fixes “built-it” → “built-in” typo.
content/icerpc/invocation/interceptor.md	Removes a stray backtick/punctuation error.
content/icerpc/dispatch/router.md	Fixes “than” → “that” in router definition.
content/icerpc/dispatch/dispatch-pipeline.md	Fixes “built-it” and “ore” typos.
content/icerpc/dependency-injection/dispatch-pipeline-with-di.md	Fixes “scope” → “scoped” in code comment.
content/icerpc-for-ice-users/rpc-core/ice-identity.md	Fixes “path” → “paths” in frontmatter description.
content/icerpc-for-ice-users/high-level-comparison/ice-reinvented.md	Removes duplicated word (“for for”).
content/getting-started/quickstart.md	Normalizes “IceRPC” casing in tutorial links.
content/getting-started/installation/nuget-packages.md	Fixes punctuation consistency in a package description.
content/getting-started/icerpc-slice-tutorial/server-tutorial.md	Fixes Programs.cs → Program.cs filename reference.
content/getting-started/icerpc-protobuf-tutorial/server-tutorial.md	Fixes Programs.cs → Program.cs filename reference.
content/getting-started/icerpc-protobuf-tutorial/client-tutorial.md	Normalizes request name casing (greet → Greet).

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[externl]

Done in 3ad6355 — capitalized here and also in the parallel client-side comment on line 75 ("One C# method per RPC method") so the two generated-code comments match the page's prose ("RPC method").

[externl]

Casing rationale: IceRPC is the name of the project (used in prose), while IceRpc is reserved for C# artifacts (namespace IceRpc;, using IceRpc;, package names like IceRpc.Slice.Tools). These two lines are link text — prose — and the linked tutorials are titled "Writing your first IceRPC + Slice server/client in C#", so prose casing applies. With this change, every remaining IceRpc under content/ appears only in code contexts.

[externl]

Why Greet (PascalCase): the Protobuf contract on this page defines rpc Greet (GreetRequest) returns (GreetResponse);, the prose earlier on this page already says "the client sends a Greet request", and the captured log output directly below shows the actual operation name on the wire: Sent request Greet to icerpc:/visitor_center.Greeter.

The lowercase greet was copied from the Slice tutorial, where it is correct — Slice operations are camelCase (greet(name: string) -> string) and its log correspondingly shows Sent request greet.

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