Learn Spanish (Latin America): Tienes el dado, así que podrías tirar ahora.

No, así que (so / therefore) introduces a consequence or result, which is treated as a fact, so it takes the indicative mood (podrías). Connectors that show purpose, like para que (so that), are the ones that require the subjunctive.

Could I use por lo tanto instead of así que here?

Yes, you could say por lo tanto podrías tirar ahora (therefore you could roll now). However, así que is much more common and natural in everyday speech like playing a board game. por lo tanto sounds a bit more formal, like 'therefore' or 'consequently' in English.

Wait, isn't dado the past participle of dar (to give)?

Yes, it is! But it is also a masculine noun, el dado, which means 'the die' (the singular of dice). Context makes it clear here because it has the article el right in front of it.

I learned that tirar means 'to throw away' or 'to pull'. Does it mean 'to roll' here?

Exactly. tirar literally means 'to throw', so in the context of board games, tirar el dado (to throw the die) is how you say 'to roll the dice' in Spanish. You might also hear lanzar used the same way.

Why use the conditional podrías (you could) instead of the present (you can)?