As T3a, the cancer has broken out of your prostate, which means prostatectomy alone can't cure it, so you would need radiotherapy in any case. You probably will benefit from the entry/exit wounds of the external beam RT, because those help to mop up micromets (spread that's too small to see on scans) near the prostate. The radiotherapy will be directed at pelvic lymph nodes too in some cases, certainly if any spread there is seen (you haven't said), and also if they think there's a chance there might be micromets in them. This is variously called "whole pelvis radiotherapy" (although that means something else to radiographers), or "prostate and nodes".
I'm not telling you to have that course of treatment - you should discuss options with your oncologist, but given what you've said (which is not complete, missing PSA results/dates, nodes and bone scan results), it is probably the best treatment available at the moment. You might also be offered chemotherapy which can further improve outcomes in some cases, at the cost of more initial discomfort and the risk of some permanent chemo damage to your body.
I am on the same path as you, 2/3rds through my EBRT, to be followed by HDR Brachytherapy (the order doesn't matter). This is becoming a common choice for what's referred to as high risk patients, i.e. T3 or more, or PSA > 20, or Gleason >= 8, as the trials which started well over 10 years ago have had good outcomes.
You didn't say what your PSA was before treatment. Mine was 57. I put off the RT until my PSA dropped to 0.1 on HT, because this also has been found to improve outcomes. (Actually, I was down do 0.18 when the RT was booked and 0.12 when it started, but that was near enough - they were originally going to start it when I was around 5.) Not everyone will be able to get it that low, but whilst the rate of decrease is high, it's probably worth waiting longer before starting the RT.