I agree to some extent with most of the comments to your query. First when you mention that your internet is 60mbps you need to identify whether it is speed or bandwidth as both have same units but different meanings. Given you are using a network adapter it is probably speed. Now in an entire chain of data transmission the net speed will be that of the slowest link or bottleneck. In your case it is your internet. You can boost it by using higher version of adapter speed like 1200mbps or 600mbps. But that will only enhance part of it as mentioned in a comment earlier. You may experience more percieved lag with 1200mbps as it may cause more congestion with your slower internet speed compared to the congestion caused by 600mbps. Think of very fast and slow moving traffic lanes intersecting each other. Also, a lot will depend on how long the data has to move incase it’s a very large distance then these speed mismatch will only have a short term local affect on your PC while overall you would still be okay.
I will advise to split your budget so that you can spend some to enhance your internet speed from service provider by opting for a better plan than the existing 60mbps. And spend the rest on getting the 600mbps network adapter.