assertLogs to optionally not disable existing handlers

GitHub fields:

assignee = None
closed_at = None
created_at = <Date 2021-11-06.12:08:52.283>
labels = ['type-feature', 'library', '3.11']
title = 'assertLogs to optionally not disable existing handlers'
updated_at = <Date 2022-01-14.19:02:39.751>
user = 'https://github.com/dandiez'

bugs.python.org fields:

activity = <Date 2022-01-14.19:02:39.751>
actor = 'iritkatriel'
assignee = 'none'
closed = False
closed_date = None
closer = None
components = ['Library (Lib)']
creation = <Date 2021-11-06.12:08:52.283>
creator = 'dandiez'
dependencies = []
files = []
hgrepos = []
issue_num = 45737
keywords = []
message_count = 1.0
messages = ['405858']
nosy_count = 2.0
nosy_names = ['vinay.sajip', 'dandiez']
pr_nums = []
priority = 'normal'
resolution = None
stage = None
status = 'open'
superseder = None
type = 'enhancement'
url = 'https://bugs.python.org/issue45737'
versions = ['Python 3.11']