[FEATURE] bun run integration-tests should print out the time elapsed for the entire test runner

Right now, when you run it, you'll see something like
```sh
$ bun run integration-tests
$ bun run scripts/integration-tests.ts
API started, running tests...
bun test v1.2.18 (0d4089ea)

tests/integration/login-flow.test.ts:
✓ Verify Email Flow > If I make a request with an unregistered email, I get an error [503.61ms]
✓ Verify Email Flow > If I make a request with an inactive user, I get an error [466.92ms]
✓ Verify Email Flow > If I make a request with the wrong password, I get an error [739.82ms]
✓ Verify Email Flow > If I make a request with the correct credentials, I get a session ID and refresh token [715.19ms]

tests/integration/register-flow.test.ts:
✓ Register Flow > doesn't store invalid credentials [11.12ms]
✓ Register Flow > stores valid credentials [637.33ms]

6 pass
0 fail
19 expect() calls
Ran 6 tests across 2 files. [4.51s]
Integration tests passed
```

It would just be nice to know how much time the test running took on top of that to startup and shutdown docker.

Start in scripts/integration-tests.ts, which is invoked by bun run integration-tests, and inspect where the API and integration test runner start and finish. Run the integration test command before and after the change; done means the output reports elapsed time for the entire runner, including Docker startup and shutdown.

Written by the indexing model from the issue text.