docs: rewrite Vue integration guide around markRaw pattern

[Haxikowy]

Summary

• Replaces the SpreadsheetProvider class example with the idiomatic markRaw pattern as the primary recommendation
• Reframes the SSR section: HyperFormula is SSR-safe by default, <ClientOnly> is an optional optimization
• Adds a TypeScript tip with a plain JS note
• Tightens prose throughout (net -20 lines)

Test plan

• Review the rendered docs page for clarity and correctness
• Verify all internal links resolve (basic-operations.md, configuration-options.md, etc.)
• Confirm the Vue 3 StackBlitz demo link still works

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Note

Low Risk
Documentation-only edits to integration guides; no application code, auth, or data paths change.

Overview
Aligns the Vue and React integration guides around the same TypeScript-first docs pattern and makes markRaw the primary Vue integration story instead of a separate provider class.

Vue (integration-with-vue.md): Drops the SpreadsheetProvider wrapper and spreadsheet-provider.ts example in favor of a single <script setup> sample that builds HyperFormula inside markRaw, keeps sheet output in a ref, and calls destroy() on unmount. Template buttons gain disabled states tied to whether results are shown. Copy explains that only values is reactive and points mutators at Basic operations. The Nuxt/SSR section is shortened: HyperFormula is fine on the server; <ClientOnly> is framed as an optional way to skip server work, not a requirement. Troubleshooting keeps the same licenseKeyValidityState error but uses consistent markRaw snippets (including hf naming).

React (integration-with-react.md): Adds the same ::: tip TypeScript block (remove annotations for plain JS) and removes the redundant standalone “drop type annotations” paragraph after the example.

No runtime or API changes—docs and examples only.

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[github-actions]

Performance comparison of head (650eb19) vs base (0e047ee)

                                     testName |   base |   head | change
------------------------------------------------------------------------
                                      Sheet A | 492.16 | 487.12 | -1.02%
                                      Sheet B | 156.89 | 154.85 | -1.30%
                                      Sheet T | 135.09 | 137.77 | +1.98%
                                Column ranges | 512.67 | 516.23 | +0.69%
Sheet A:  change value, add/remove row/column |  16.04 |  15.46 | -3.62%
 Sheet B: change value, add/remove row/column | 130.19 | 137.66 | +5.74%
                   Column ranges - add column |  159.3 | 154.69 | -2.89%
                Column ranges - without batch | 470.09 | 474.79 | +1.00%
                        Column ranges - batch | 118.12 | 120.82 | +2.29%

[Haxikowy]

Verified on preview

[codecov]

Codecov Report

✅ All modified and coverable lines are covered by tests.
✅ Project coverage is 97.16%. Comparing base (0e047ee) to head (650eb19).

Additional details and impacted files

@@           Coverage Diff            @@
##           develop    #1689   +/-   ##
========================================
  Coverage    97.16%   97.16%           
========================================
  Files          176      176           
  Lines        15322    15322           
  Branches      3356     3356           
========================================
  Hits         14887    14887           
  Misses         427      427           
  Partials         8        8           

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[sequba]

👍