No License Plate Ticket [Texas]

I purchased a motorcycle roughly two weeks ago. Today I got stopped for no license plate. I showed the officer(s) a picture of the title and my insurance. I informed the officer that I purchased the vehicle no more than a month ago. He still gave me a ticket for no plates.

Legally am I allowed to ride with no plates for up to thirty days after purchasing a vehicle? The officer even told me that, he said he is giving me a ticket because I didn't have the title "on-hand". However, I showed him a picture of the title.

Please let me know what I can do regarding this. I no longer have the original title, after I received the ticket today I went to the DMV to get a title transfer and registration so I now I have plates. Also, if any of y'all know if this will put points on my record please let me know, I am aware the fine is around $200, I have a clean record and want to keep it that way.

Thanks!