Hi there, sharing my journey with STE and hoping to get some advice on what i should do next

11/05/24: Accepted verbal offer from HR with salary package and told to wait for approval for hire. (No mention of clearance or checks or offer letter)
17/05/24: Emailed HR to ask how long is the approval process and told to wait for another 2 weeks.
21/05/24: HR emailed me to complete the online job application form for the role.
29/05/24 Emailed HR again to check on process and told to wait another 2 weeks.
17/06/24: Emailed HR my unofficial transcript with final GPA and was told to wait tentatively till 16/07/24 for any updates. Will be sending HR my official transcript on 02/07/24 as it's still not ready.

Should I continue waiting for the approval or start applying for other jobs now?