I now have three games under my belt! Whoohoo!

However, in two of the games, the Corporation player could see I had low strength to make a successful run, so they used all their clicks to completely advance an Agenda! Such a game is over quickly!

Am I missing something? I think it would've been a better rule that the Corporation can only Advance an Agenda one level per turn.

Hard to say without knowing the deck construction and board position at the time. Remember that you can run on the discard, deck, hand and the servers. Early games making semi-free runs against the deck and hand can net you some quick points. For mid and late game you need to include cards in your deck that can modify your strength and use card draw and search to dig out things like Cypher that can potentially deal with any sized ice.

Keep at it and try different strategies. Look at the decks people have already build with success to get ideas. Being new to the game always leaves for a lot of room for improvement even if it's just a play style.

I now have three games under my belt! Whoohoo!

However, in two of the games, the Corporation player could see I had low strength to make a successful run, so they used all their clicks to completely advance an Agenda! Such a game is over quickly!

Am I missing something? I think it would've been a better rule that the Corporation can only Advance an Agenda one level per turn.

God, no. Corps are already enough at a disadvantage early-game and late-game for that kind of rule.

As good trick is to try and keep the corp as poor as possible. You don't need a full set of breakers to run (hell, you should run without a full set).

Run, run, run.

Forcing the corp to rez ice with quick and early aggression forces them to focus on economy and defense rather than scoring. If they leave HQ or RnD open, run it and run it hard.

Rezzing ice costs money. Forcing the corp to spend money is a good thing.

by default the corp kinda NEEDS early points for 2 things

1) Archer.

2) It is way easer for the runner to score those early points then you, don't give them that chance, make them work change.

I now have three games under my belt! Whoohoo!

However, in two of the games, the Corporation player could see I had low strength to make a successful run, so they used all their clicks to completely advance an Agenda! Such a game is over quickly!

Am I missing something? I think it would've been a better rule that the Corporation can only Advance an Agenda one level per turn.

It sounds to me like you may be making a common mistake people who are learning the game make when it comes to the rules of the game. You don't need any sort of strength to make runs. You can make runs whenever you want. The only time that strength of an icebreaker matters is if you're encountering a piece of ice and you want to use an icebreaker to break ice.

If however the corp put out a strong piece of ice on a remote server and you don't have the icebreaker to break it then just run somewhere else. Sure the corp will be able to score an agenda behind that ice but in the meantime you might be able to fish out more points out of his R&D or HQ