I suspect that you may mean BorisFX's Continuum Complete 2019-5_OFX.
While someone on this forum may have a suggestion, your best option is to contact BorisFX about the matter, though it could be that you no longer have a current upgrade and support plan with them given that the latest version of BCC is 2020-5.
Unfortunately, the reality is more than likely that if BCC requires a 64-bit processor and your computer is not 64-bit (or AMD with 4 or more cores), then Continuum is probably not going to work. This might be a jog to upgrade to a new modern computer.
Also, which version of Vegas Pro are you using? The last 32-bit version of Vegas Pro was back in Sony days and was Vegas Pro 10 as far as I can tell - and that was released nearly 10 years ago. Chances are that a 2019 version of Continuum won't work in VP10 anyway if you're using the 32-bit version of VP10 (or earlier).