Intermittent no pg_hba.conf entry for host

Nobody has claimed this yet.

I have a long-running script which initializes an asyncpg.Pool at the start of the script, then spawns a ton of tasks on an eventloop which occasionally acquire a connection, write something and put the connection back. An individual connection could in theory go a long time between usages, since the writes are only occasional. Plenty of time for some of them to idle out. That may be relevant here, because exactly every ten minutes, I get a few errors like this in my task log:

`asyncpg.exceptions.InvalidAuthorizationSpecificationError: no pg_hba.conf entry for host`

The script goes through its recovery logic, throwing away of bunch of work that the task already did, and the script resumes working again. The connections continue working again for another 10 minutes - plenty of writes get through, so this is not really an auth error - then the cycle repeats.

This feels like asyncpg acquires a connection which is invalidated in some way, then raises when it checks the connection but before passing it along. I am not sure why the connections are invalidated, but the extreme regularity of it implies that the connections failed a keepalive or idled out and asyncpg doesn't account for the possibility in the acquire logic. It's also very possible that I have initialized the pool incorrectly and I'm seeing expected behavior. My pool's connection settings are all default. The connection is directly to PG, no middleware.

PostgreSQL 15.10 on x86_64-pc-linux-gnu, compiled by gcc (Ubuntu 7.5.0-3ubuntu1~18.04) 7.5.0, 64-bit
asyncpg 0.30.0

Here is what I believe is the relevant part of the stack trace. All stack frames above this are my own code and the exception is thrown on a `async with pool.acquire() as conn:` line.

Am I running into expected behavior?

```
File "/home/redacted/miniconda3/envs/redacted/lib/python3.12/site-packages/asyncpg/pool.py", line 864, in _acquire
return await _acquire_impl()
^^^^^^^^^^^^^^^^^^^^^
File "/home/redacted/miniconda3/envs/redacted/lib/python3.12/site-packages/asyncpg/pool.py", line 849, in _acquire_impl
proxy = await ch.acquire() # type: PoolConnectionProxy
^^^^^^^^^^^^^^^^^^
File "/home/redacted/miniconda3/envs/redacted/lib/python3.12/site-packages/asyncpg/pool.py", line 140, in acquire
await self.connect()
File "/home/redacted/miniconda3/envs/redacted/lib/python3.12/site-packages/asyncpg/pool.py", line 132, in connect
self._con = await self._pool._get_new_connection()
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
File "/home/redacted/miniconda3/envs/redacted/lib/python3.12/site-packages/asyncpg/pool.py", line 517, in _get_new_connection
con = await self._connect(
^^^^^^^^^^^^^^^^^^^^
File "/home/redacted/miniconda3/envs/redacted/lib/python3.12/site-packages/asyncpg/connection.py", line 2421, in connect
return await connect_utils._connect(
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
File "/home/redacted/miniconda3/envs/redacted/lib/python3.12/site-packages/asyncpg/connect_utils.py", line 1049, in _connect
conn = await _connect_addr(
^^^^^^^^^^^^^^^^^^^^
File "/home/redacted/miniconda3/envs/redacted/lib/python3.12/site-packages/asyncpg/connect_utils.py", line 891, in _connect_addr
return await __connect_addr(params_retry, False, *args)
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
File "/home/redacted/miniconda3/envs/redacted/lib/python3.12/site-packages/asyncpg/connect_utils.py", line 934, in __connect_addr
await connected
```

Start with asyncpg/pool.py at _acquire, PoolConnectionHolder.acquire, and _get_new_connection, then follow asyncpg/connect_utils.py through __connect_addr using the supplied stack trace. Reproduce the recurring failure with PostgreSQL 15.10 and asyncpg 0.30.0, and determine whether pool acquisition handles the reported connection error as expected; done means the behavior and any required change are clearly established with a regression test if applicable.

Written by the indexing model from the issue text.