Tax on long term capital gain

Yes, Correct; unless lower/nil TDS deduction certificate u/s. 197 of the act, is obtained by either of the party from IT authority

Yes, TDS would be Deducted by the payer because TDS is not subject to Gain/Loss but it is something which works according to the payment made.

Also, you could apply for Certificate u/s 197 from your Jurisdictional AO for Lower Deduction of TDS and then just provide this certificate to your Payer and then he would deduct TDS accordingly.