Rhode Partners is designing this Cambria hotel at 68 East Avenue which is next to the U/C Homewood Suites. I didn't see an exact floor count in the permit filings, but the block rendering appears to be at least 15-stories.
Here's the location just south of the Homewood Suites from Streetview:
Based on the permit filings, there is some discussion about saving a tree on the site. The renderings show the hotel built around a tree:
Here are a couple permit filings. The second one has the renderings and some drawings. The hotel levels begin on the sixth floor.
https://abc.austintexas.gov/attachment/attachmentDownload.jsp?p=rhL9yeJHMmUCynYV0gpaHYQlUeakbjOS5oWueW5EJIq7inE%2BsPiJJR3CO38Fn9WPo5kPrLtpNNTfu4oi7c8ZhZQqzjjH37vyEfrkashRHXB91OIc9sLSqfeWMvjDXvx8
https://abc.austintexas.gov/attachme...hd8u6iTmubxjea