refactor: let dist build gateways broker client

[lenaschoenburg]

Description

Builds the broker client in dist, making it available for injection. Because BrokerClient needs to schedule actors, the actor scheduler must be started before. To achieve this, BrokerClient gets a start method that does the scheduling.

Related issues

relates to #9996

Definition of Done

Not all items need to be done depending on the issue and the pull request.

Code changes:

• The changes are backwards compatibility with previous versions
• If it fixes a bug then PRs are created to backport the fix to the last two minor versions. You can trigger a backport by assigning labels (e.g. backport stable/1.3) to the PR, in case that fails you need to create backports manually.

Testing:

• There are unit/integration tests that verify all acceptance criterias of the issue
• New tests are written to ensure backwards compatibility with further versions
• The behavior is tested manually
• The change has been verified by a QA run
• The impact of the changes is verified by a benchmark

Documentation:

• The documentation is updated (e.g. BPMN reference, configuration, examples, get-started guides, etc.)
• New content is added to the release announcement
• If the PR changes how BPMN processes are validated (e.g. support new BPMN element) then the Camunda modeling team should be informed to adjust the BPMN linting.

Please refer to our review guidelines.

[github-actions]

Test Results

   811 files  ±0     811 suites  ±0   1h 38m 7s ⏱️ + 3m 3s
6 183 tests  - 8  6 173 ✔️  - 8  10 💤 ±0  0 ❌ ±0 
6 371 runs   - 8  6 361 ✔️  - 8  10 💤 ±0  0 ❌ ±0 

Results for commit a00eefd. ± Comparison against base commit a301d41.

♻️ This comment has been updated with latest results.

[npepinpe]

👍

[lenaschoenburg]

bors r+

[zeebe-bors-camunda]

Build succeeded:

• Java checks
• Test summary
• Go linting