Multiple job applications for the same organisation

I submitted an application for a public sector job on Thursday 3/7, applications closed that night and I got in a decent cover letter + resume that afternoon.

When I went to submit it through the portal I noticed a job that’s virtually the same through the same company but obviously more junior as there’s about a 13k pay difference.

I am qualified for both, and both jobs have the same talent acquisition officer.

Does it look desperate or frowned upon if I apply for both given I have the skills and experience required to perform both? I’ve never worked in the public sector but I’m aware of the differences between that and private.

I will obviously tailor my cover letter and resume because there are some differences in the job roles. Just want to hear anyone’s honest opinions or experiences or if they’ll simply just discard me because it may look like I’m spraying and praying or using a mass application approach that could mess up their ATS. This job I’m looking at closes on Monday 7/9.

Any advice would be much appreciated 😊