is it safe for me to input the Bitcoin address they have given me?
Doing anything they ask is unsafe. Continuing to communicate with them in any way is unsafe. Your computer may now be unsafe to use.
They have already tricked you and stolen your money. Addresses are public and putting an address into a wallet doesn’t give you control over money sent to that address.
Bitcoin wallets don’t contain money, they normally contain the numbers called private-keys that give control over money sent to addresses derived from those keys. Wallets are also a kind of window onto the blockchain and can show amounts of money associated with addresses – but if you don’t have the private keys you cant spend that money.
The person you spoke with will encourage you to invest more and more. They will trick you by making the wallet show you huge profits that you really don’t control.
When you want to withdraw your fake profits, they will falsely say you have to pay some special fee in advance.
When they have bled you dry they will drop contact and move on to other victims, ignoring you.
You have no way to recover money you gave them but can report fraud to your local police.