Migrate data plugin and dependencies to TS project references

[joshdover]

Summary

Related to #80508
Depends on #87075

Checklist

Delete any items that are not applicable to this PR.

• Any text added follows EUI's writing guidelines, uses sentence case text and includes i18n support
• Documentation was added for features that require explanation or tutorials
• Unit or functional tests were updated or added to match the most common scenarios
• Any UI touched in this PR is usable by keyboard only (learn more about keyboard accessibility)
• Any UI touched in this PR does not create any new axe failures (run axe in browser: FF, Chrome)
• This renders correctly on smaller devices using a responsive layout. (You can test this in your browser)
• This was checked for cross-browser compatibility

For maintainers

• This was checked for breaking API changes and was labeled appropriately

[kibanamachine]

💔 Build Failed

• continuous-integration/kibana-ci/pull-request
• Commit: b67c77b
• Pipeline Steps (look for red circles / failed steps)
• Interpreting CI Failures

Failed CI Steps

• Jest Unit Tests

---

Test Failures

Jest Tests.src/plugins/data/common/index_patterns/index_patterns.IndexPattern toSpec should match snapshot

Link to Jenkins

Standard Out

Failed Tests Reporter:
  - Test has not failed recently on tracked branches

Stack Trace

Error: expect(received).toMatchSnapshot()

Snapshot name: `IndexPattern toSpec should match snapshot 1`

- Snapshot  - 1
+ Received  + 1

@@ -687,9 +687,9 @@
    "id": "test-pattern",
    "intervalName": undefined,
    "sourceFilters": undefined,
    "timeFieldName": "timestamp",
    "title": "title",
-   "type": "index-pattern",
+   "type": "type-pattern",
    "typeMeta": undefined,
    "version": "2",
  }
    at Object.<anonymous> (/dev/shm/workspace/parallel/5/kibana/src/plugins/data/common/index_patterns/index_patterns/index_pattern.test.ts:223:37)
    at Object.asyncJestTest (/dev/shm/workspace/kibana/node_modules/jest-jasmine2/build/jasmineAsyncInstall.js:106:37)
    at /dev/shm/workspace/kibana/node_modules/jest-jasmine2/build/queueRunner.js:45:12
    at new Promise (<anonymous>)
    at mapper (/dev/shm/workspace/kibana/node_modules/jest-jasmine2/build/queueRunner.js:28:19)
    at /dev/shm/workspace/kibana/node_modules/jest-jasmine2/build/queueRunner.js:75:41
    at processTicksAndRejections (internal/process/task_queues.js:93:5)

---

Metrics [docs]

Distributable file count

id	before	after	diff
default	47267	48027	+760

Page load bundle

Size of the bundles that are downloaded on every page load. Target size is below 100kb

id	before	after	diff
embeddable	233.0KB	233.0KB	+43.0B
maps	152.7KB	152.8KB	+51.0B
uiActions	63.6KB	62.3KB	-1.4KB
total			-1.3KB

To update your PR or re-run it, just comment with:
@elasticmachine merge upstream

[mshustov]

superseded by #87294