Welcome to our forum.
Not sure where you are from but when I first bought my tub I had plans to build something around it . I live in Massachusetts so can get bad winters. 11 years later it still sits outside and I would never want one enclosed. My wife and I went out side this morning and the snow was lightly falling and it was great. When my grandkids come over and we go out at night and look at the stars or try to find satellites in the sky it makes me very happy that my tub is outside.Enjoy your tub.Ivan
Wood is good, but Vinyl is final.I have sold many wood gazebos over the years and they all require more maint. than folks are willing to give them.