[no-release-notes] Update integration workflow

[Hydrocharged]

This makes the same changes for the Dolt workflow that was done to the GMS workflow:

• https://github.com/dolthub/go-mysql-server/pull/2585

[github-actions[bot]]

@coffeegoddd DOLT	test_name	detail	row_cnt	sorted	mysql_time	sql_mult	cli_mult
batching	LOAD DATA	10000	1	0.06	1.5
batching	batch sql	10000	1	0.08	1.75
batching	by line sql	10000	1	0.08	1.75
blob	1 blob	200000	1	0.87	4.45	3.79
blob	2 blobs	200000	1	0.88	4.47	4.34
blob	no blob	200000	1	0.87	2.57	2.16
col type	datetime	200000	1	0.83	2.93	2.77
col type	varchar	200000	1	0.68	3.41	2.76
config width	2 cols	200000	1	0.77	2.61	2.16
config width	32 cols	200000	1	1.82	2.02	2.45
config width	8 cols	200000	1	0.95	2.44	2.22
pk type	float	200000	1	0.86	2.35	2
pk type	int	200000	1	0.77	2.64	2.16
pk type	varchar	200000	1	1.52	1.77	1.43
row count	1.6mm	1600000	1	5.59	2.98	2.51
row count	400k	400000	1	1.5	2.71	2.27
row count	800k	800000	1	2.85	2.91	2.42
secondary index	four index	200000	1	3.57	1.39	1.09
secondary index	no secondary	200000	1	0.89	2.47	2.08
secondary index	one index	200000	1	1.11	2.45	2.14
secondary index	two index	200000	1	1.94	1.79	1.46
sorting	shuffled 1mm	1000000	0	4.78	2.96	2.62
sorting	sorted 1mm	1000000	1	4.83	2.94	2.6

[github-actions[bot]]

@coffeegoddd DOLT	name	detail	mean_mult
dolt_blame_basic	system table	1.25
dolt_blame_commit_filter	system table	3.36
dolt_commit_ancestors_commit_filter	system table	0.84
dolt_commits_commit_filter	system table	0.92
dolt_diff_log_join_from_commit	system table	2.03
dolt_diff_log_join_to_commit	system table	2.05
dolt_diff_table_from_commit_filter	system table	1.09
dolt_diff_table_to_commit_filter	system table	1.06
dolt_diffs_commit_filter	system table	0.95
dolt_history_commit_filter	system table	1.21
dolt_log_commit_filter	system table	0.94

[github-actions[bot]]

@coffeegoddd DOLT	name	add_cnt	delete_cnt	update_cnt	latency
adds_only	60000	0	0	1.33
adds_updates_deletes	60000	60000	60000	4.4
deletes_only	0	60000	0	2.4
updates_only	0	0	60000	3.01