[2.0] Remove YAML configuration

[strawgate]

See: https://github.com/legrego/homeassistant-elasticsearch/issues/284#issuecomment-2078008011

Fixes: https://github.com/legrego/homeassistant-elasticsearch/issues/284

[github-actions[bot]]

Coverage Report

File	Stmts	Miss	Cover	Missing
__init__.py	0	0	100%
elasticsearch
__init__.py	112	19	83%	96, 99–101, 104, 110, 119, 137–138, 145–147, 153–154, 174–175, 181, 183, 269
config_flow.py	200	16	92%	165, 198, 328, 392–393, 404–406, 420–421, 425, 503, 578, 587, 621–622
const.py	34	0	100%
entity_details.py	33	0	100%
errors.py	28	3	89%	51, 60, 67
es_doc_creator.py	193	1	99%	322
es_doc_publisher.py	267	40	85%	68–69, 139–140, 179, 182, 185, 190, 207–208, 226–229, 233, 248–249, 265–266, 270, 295, 299, 393, 413, 455, 469, 480, 483, 511–512, 514–515, 517–518, 522–524, 543, 545, 551
es_gateway.py	144	20	86%	94–95, 114, 133–135, 137, 139–140, 142–143, 146–148, 153–154, 158–160, 253
es_index_manager.py	123	11	91%	43, 74, 79, 242–243, 260–261, 266–267, 296–297
es_integration.py	35	8	77%	40, 45–46, 57–61
es_privilege_check.py	60	1	98%	82
es_serializer.py	10	1	90%	17
es_version.py	30	0	100%
logger.py	2	0	100%
system_info.py	25	1	96%	37
utils.py	4	0	100%
TOTAL	1300	121	90%

Tests	Skipped	Failures	Errors	Time
218	0 :zzz:	0 :x:	0 :fire:	11.816s :stopwatch:

[strawgate]

@legrego ready to go