There’s no definitive answer to your question since everyone’s body reacts differently to medication. I’m not a medical expert, but from what I understand, a raised heart rate does not necessarily indicate that your cardiovascular function has been impaired. It could just be a random effect. I wouldn’t worry too much about it affecting your training. I’ve been in a similar situation. I was prescribed myorelaxants (https://www.pillpal.to/muscle-relaxants-1834) for muscle spasms, and after taking them, I noticed my heart rate had increased by about 10bpm. I was a bit worried at first, but my doctor told me that it was a common side effect and not to worry about it.