In the database, under your project tables, look to .d.TESTCYCL table. This will have the test instance fields.
See DB reference here: [HPE Database Reference]
In it is TC_TEST_ID which is same as the TS_TEST_ID (the actual test ID seen in test plan).
That won't get you the name though of the actual test with the 1, 2, 3.
Business view though for Test Instance already exists. It is named Test Instances. This includes the Test Instance Unique ID and the test_instance_name among other fields.
The test_instance_name is going to be the name like Brent or Brent.
See below for the business view as defined in project customization, and then for actual selection from Excel and an actual result.
These show you the values you would want to pull to use in a custom view if that is how you need to move forward.