My btc core node (pruned) can receive transactions, but not send them. I've tried to send around a 1000 sats with over 3,000 sats in fees, to the testnet faucet address

n2eMqTT929pb1RDNuqEnxdaLau1rxy3efi
 
and when I type

$ bitcoin-cli listtransactions

I can see the transaction, but it has had zero confirmations for hours, and I when I enter the txid in a testnet block explorer, there are no results.

Do I need to open port 8333 on my router (i.e., have inbound connections) to be able to broadcast transactions?

Thank you.