Move `@itwin/itwinui-react` to peerDependencies (backport #1115)

[mergify[bot]]

Changes

This PR moves @itwin/itwinui-react to peerDependencies to simplify the process of ensuring that a single version of iTwinUI package is installed per major version. Will be backported to release/5.0.x branch where NextVersion.md will be updated to mention this change.

Testing

N/A

---

This is an automatic backport of pull request #1115 done by Mergify.

[mergify[bot]]

Cherry-pick of 66f79b7cb3f8e8a55b5f600fe0b11c6c7c795ef5 has failed:

On branch mergify/bp/release/5.0.x/pr-1115
Your branch is up to date with 'origin/release/5.0.x'.

You are currently cherry-picking commit 66f79b7cb.
  (fix conflicts and run "git cherry-pick --continue")
  (use "git cherry-pick --skip" to skip this patch)
  (use "git cherry-pick --abort" to cancel the cherry-pick operation)

Changes to be committed:
    modified:   apps/test-app/package.json
    modified:   apps/test-providers/package.json
    new file:   common/changes/@itwin/appui-react/itwinui-peer_2024-11-13-14-05.json
    new file:   common/changes/@itwin/components-react/itwinui-peer_2024-11-13-14-05.json
    new file:   common/changes/@itwin/core-react/itwinui-peer_2024-11-13-14-05.json
    new file:   common/changes/@itwin/imodel-components-react/itwinui-peer_2024-11-13-14-05.json
    modified:   common/config/rush/browser-approved-packages.json
    modified:   docs/storybook/package.json
    modified:   e2e-tests/tests/accudraw/accudraw-dialog.test.ts-snapshots/accudraw-dialog-test-1-chromium-linux.png
    modified:   e2e-tests/tests/accudraw/accudraw-widget.test.ts-snapshots/accudraw-widget-test-1-chromium-linux.png
    modified:   e2e-tests/tests/accudraw/calculator.test.ts-snapshots/calculator-test-1-chromium-linux.png
    modified:   e2e-tests/tests/configurableui/configurable-ui.test.ts-snapshots/configurable-ui-test-1-chromium-linux.png
    modified:   e2e-tests/tests/editors/editors.test.ts-snapshots/Editor-Primitive-number-numeric-input-UiAbstract-InputEditorSize-UiAbstract-Range-default-visual-1-chromium-linux.png
    modified:   e2e-tests/tests/editors/editors.test.ts-snapshots/Editor-Primitive-number-numeric-input-UiAbstract-InputEditorSize-default-visual-1-chromium-linux.png
    modified:   e2e-tests/tests/editors/editors.test.ts-snapshots/Editor-Primitive-number-numeric-input-UiAbstract-Range-default-visual-1-chromium-linux.png
    modified:   e2e-tests/tests/editors/editors.test.ts-snapshots/Editor-Primitive-number-numeric-input-default-visual-1-chromium-linux.png
    modified:   e2e-tests/tests/popup/keyin-palette-panel.test.ts-snapshots/keyin-palette-panel-test-1-chromium-linux.png
    modified:   package.json
    modified:   ui/appui-react/src/test/statusfields/toolassistance/ToolAssistanceField.test.tsx
    modified:   ui/components-react/src/test/filter-builder/FilterBuilder.test.tsx
    modified:   ui/components-react/src/test/filter-builder/FilterBuilderRule.test.tsx

Unmerged paths:
  (use "git add <file>..." to mark resolution)
    both modified:   common/config/rush/pnpm-lock.yaml
    both modified:   ui/appui-react/package.json
    both modified:   ui/components-react/package.json
    both modified:   ui/core-react/package.json
    both modified:   ui/imodel-components-react/package.json

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