ts5.3.3; update @itwin/build-tools to update doc generation (backport #834)

[mergify]

Consume latest @itwin/build-tools to produce documentation with newer TypeDoc schema. As a consequence, upgrade TypeScript to v5.3.3.

---

This is an automatic backport of pull request #834 done by [Mergify](https://mergify.com).

[mergify]

Cherry-pick of c5096dc has failed:

On branch mergify/bp/release/4.13.x/pr-834
Your branch is up to date with 'origin/release/4.13.x'.

You are currently cherry-picking commit c5096dcc4.
  (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:   common/api/appui-react.api.md
	new file:   common/changes/@itwin/appui-codemod/ts53-itwin-build-tools_2024-05-07-18-39.json
	new file:   common/changes/@itwin/appui-react/ts53-itwin-build-tools_2024-05-07-18-39.json
	new file:   common/changes/@itwin/components-react/ts53-itwin-build-tools_2024-05-07-18-39.json
	new file:   common/changes/@itwin/core-react/ts53-itwin-build-tools_2024-05-07-18-39.json
	new file:   common/changes/@itwin/imodel-components-react/ts53-itwin-build-tools_2024-05-07-18-39.json
	modified:   common/config/rush/common-versions.json
	modified:   common/config/rush/repo-state.json
	modified:   docs/storybook/package.json
	modified:   test-apps/appui-test-app/appui-test-providers/package.json
	modified:   test-apps/appui-test-app/connected/package.json
	modified:   test-apps/appui-test-app/standalone/package.json
	modified:   tools/codemod/package.json
	modified:   ui/appui-react/package.json
	modified:   ui/components-react/package.json
	modified:   ui/core-react/package.json
	modified:   ui/imodel-components-react/package.json

Unmerged paths:
  (use "git add <file>..." to mark resolution)
	both modified:   common/config/rush/pnpm-lock.yaml

To fix up this pull request, you can check it out locally. See documentation: https://docs.github.com/en/pull-requests/collaborating-with-pull-requests/reviewing-changes-in-pull-requests/checking-out-pull-requests-locally