MatPed is correct. Adding funds to an account is equivalent to freshly starting a new account with the added funds.

It is not so that the drawdowns in year 10 of a trading system are bigger than the drawdowns in year 1. The drawdowns grow not automatically any year, but their probability grows with the duration of trading. That is a subtle difference. You can freshly start a new account after 10 years trading the system and need not fear immediately a worst case drawdown, since it's more likely that it already happened in one of the years before.

Admittedly this is a bit tricky, but I hope it makes sense.