Investigate and fix flakiness on "assigns an issue to yourself" test

[wlsf82]

https://cloud.cypress.io/projects/vxwq6z/runs/da608c6e-aae7-441f-9041-1385c4ec2dc6/test-results/e9d86ea8-a0f3-4be2-8e88-aee629fb465c/replay