Updates `ProcessWorker` to delegate flow run execution to a `Runner` #20209

Job	Run time
docker, python:3.9	5m 11s
docker, python:3.10	4m 52s
typesafety	2m 2s
Server Tests - python:3.9, postgres:14	5m 19s
docker, python:3.11	4m 38s
Server Tests - python:3.10, postgres:14	5m 17s
docker, python:3.12	4m 55s
Server Tests - python:3.11, postgres:14	4m 55s
Server Tests - python:3.12, postgres:14	4m 41s
Server Tests - python:3.9, sqlite	5m 16s
Server Tests - python:3.10, sqlite	5m 20s
Server Tests - python:3.11, sqlite	4m 49s
Server Tests - python:3.12, sqlite	4m 40s
Database and Orchestration Tests - python:3.9, postgres:14	6m 24s
Database and Orchestration Tests - python:3.10, postgres:14	6m 26s
Database and Orchestration Tests - python:3.11, postgres:14	5m 44s
Database and Orchestration Tests - python:3.12, postgres:14	5m 50s
Database and Orchestration Tests - python:3.9, sqlite	6m 57s
Database and Orchestration Tests - python:3.10, sqlite	6m 54s
Database and Orchestration Tests - python:3.11, sqlite	6m 27s
Database and Orchestration Tests - python:3.12, sqlite	5m 57s
Client Tests - python:3.9, postgres:14	9m 25s
Client Tests - python:3.10, postgres:14	9m 13s
Client Tests - python:3.11, postgres:14	8m 47s
Client Tests - python:3.12, postgres:14	8m 12s
Runner, Worker, Settings, Input, and CLI Tests - python:3.9, postgres:14	6m 12s
Runner, Worker, Settings, Input, and CLI Tests - python:3.10, postgres:14	6m 25s
Runner, Worker, Settings, Input, and CLI Tests - python:3.11, postgres:14	5m 33s
Runner, Worker, Settings, Input, and CLI Tests - python:3.12, postgres:14	5m 33s
	2h 51m 54s

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