Additional information about 回 and 度.
回 - times
This counter is for counting indefinite "times", whether it be doing something once, or one hundred times.
When 回 can only be used...
1. With prefixes “第”(dai) and “全”(zen=total) Ex: “第3回 〇〇 会議” (The Third 〇〇 Conference)
2. With decimal figure Ex: “2.5 回”
3. With “~回分” Ex: “2回分の料金” (The cost for 2 times}
度 - degrees, times
This counter can count two things: occurrences (one time, two times, three times), and degrees.
Usually 度 is only used for up to three occurrences. If you want to go beyond 3度, then you will want to use 回 instead.
When 度 can only be used...
1. In specific idioms and proverbs Ex: “二度あることは三度ある” (What happens twice will happen three times.)
2. There is a semi-"pattern" involving 二度 which you might find useful to know (or which allows something in your brain to click, linking the expression to the counter)
Ex: “二度と許さない”(I never forgive you.) “二度とこないで!”(Don’t come again! or Never come back!)
Of course the verb that comes after can be a different one, but this will be the expression most people will have heard at least once while enjoying Japanese cinematographic material.