fix(web): preserve POSIX path casing in file links

[AksharP5]

What Changed

Markdown file links now use the shared project-path comparison policy for workspace containment. POSIX paths remain case-sensitive, while Windows drive and UNC paths remain case-insensitive.

The same containment result now drives both tooltip formatting and click routing.

Why

On POSIX, link containment lowercased both paths. A link to a case-distinct sibling such as project/probe.txt could therefore be treated as Project/probe.txt inside the workspace and open the wrong file in the right-panel preview.

Fixes #4804

UI Changes

Before — outside sibling misclassified

After — outside sibling remains absolute

After — inside-workspace display remains relative

t3PR.mp4

Verification

• vp test run packages/shared/src/path.test.ts apps/web/src/markdown-links.test.ts apps/web/src/filePathDisplay.test.ts — 54 tests passed
• Targeted lint passed for the changed files
• vp run --filter @t3tools/shared typecheck passed
• vp run --filter @t3tools/web typecheck passed

Checklist

• This PR is small and focused
• I explained what changed and why
• I included before/after screenshots for the UI behavior
• I included a video for the interaction change

Model: GPT-5.6 Sol | Harness: Codex in T3 Code

Note

Fix POSIX path casing preservation in file links for workspace-relative display

• Adds resolveWorkspaceRelativePath to filePathDisplay.ts to compute workspace-relative paths with correct case sensitivity: exact-match for POSIX, case-insensitive for Windows and UNC paths.
• Refactors formatWorkspaceRelativePath to preserve drive roots (e.g. C:/) and filesystem roots (/) in display output instead of collapsing them.
• Extracts normalizePathCaseForComparison into packages/shared/src/path.ts as a reusable utility; Windows/UNC paths are lowercased and backslash-normalized, POSIX paths are returned unchanged.
• Updates markdown-links.ts to use resolveWorkspaceRelativePath for workspaceRelativePath in link metadata, replacing a local helper that unconditionally lowercased paths.
• Behavioral Change: POSIX file links are now case-sensitive — previously, paths were always lowercased for comparison, which could cause mismatches on case-sensitive filesystems.

^{Macroscope summarized 1165c05.}

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Cursor Bugbot has reviewed your changes using high effort and found 1 potential issue.

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[macroscopeapp]

Approvability

Verdict: Needs human review

This bug fix changes path comparison behavior from unconditional case-insensitivity to platform-aware handling (POSIX case-sensitive, Windows case-insensitive). While well-tested, changes to core path resolution logic that affect runtime behavior warrant human review.

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