Martingale is a guaranteed winning strategy only under two small conditions: 1 - there are no bet limits, 2 - you have an unlimited amount of money.
That is false
No, it's not.
It is, unless you call winning to be willing to bet billions to win the initial bet a winning strategy. In other words, you bet $1 initially and as you encounter losing streaks you have to keep doubling and doubling ad infinitum because the longer term the more likely you are to encounter extremely improbable losing streaks.
In your mental experiment you are missing something else: infinite time.
You don't say! Really?! Thanks for your wisdom and for letting us know. Keep it up!
Same here, keep us up to date with your genius thought experiments.