Hi,
I also did the same thing. I and my husband just had a court marriage, did not have any traditional wedding or any ritual performed.
I think it is totally fine to submit the application with just court marriage, but make sure to provide enough proofs of your relationship like chats, phone calls, video call screenshots if you have any, pictures of both of you together (on any event or vacation). Write an explained letter of how you guys met each mother, affidavits from your friends and family members to prove that your relationship is known to other people and is genuine. Also, include your engagement pictures in the application, you can also write in the explanation letter that because of certain reasons, like work related or any other, you cannot do traditional wedding at the same time of your engagement or court marriage as it takes lots of time and planning and will be doing it in March 2026.
I personally do not think there would be any problem in doing this.