$[$Problem $2](26$ points$).$ The situations in Question $1($Rhaenyra Targaryen$)$ and Question $2($Jon Snow$)$ in this problem are independent.

In $2023,$ Rhaenyra Targaryen $($single$)$ sells the following capital assets she had:

$$ Google stock: date acquired $12/15/2021,$ date sold $04/01/2023,$ selling price $$2,000,$ adj.basis $$7,500$

$$ Amazon stock: date acquired $01/20/2023,$ date sold $10/30/2023,$ selling price $$4,000,$ adj.basis $$6,000$

$$ City of Boston bond: date acquired $10/22/2021,$ date sold $03/07/2023,$ selling price $$1,000,$ adj.basis $$9,000$

$$ Personal car: date acquired $05/17/2023,$ date sold $12/13/2023,$ selling price $$7,000,$ adj.basis $$3,500$

$$ Personal boat: date acquired $08/04/2023,$ date sold $12/22/2023,$ selling price $$50,000,$ adj.basis $$60,000$

$$ Jewelry: date acquired $09/25/2017,$ date sold $02/03/2023,$ selling price $$6,000,$ adj.basis $$10,000$

In addition, Rhaenyra Targaryen has an unrecaptured Section $1250$ gain, $$7,000,$ during $2023.$

$(1-1)$ Determine Rhaenyra Targaryen$$s $($a$)$ net capital gain $($loss$)$ that is recognized in her $2023$ tax return and $($b$)$ the type $($short$-$term or long$-$term$)$ and the amount of net capital loss to be carried forward to $2024[12$ points$].$

$(1-2)$ In $2024,$ Rhaenyra Targaryen has $$2,000$ of net short$-$term capital gain, $$2,500$ of $28\%$ net long$-$term capital gain, and $$3,000$ of $25\%$ net long$-$term capital gain. Determine the type $($short$-$term or long$-$term$)$ and the amount of net capital gain to be recognized in $2024[5$ points$].$

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$[$Problem $2](26$ points$)($cont$$d$).$

$(2)$ During the year, Jon Snow $($single$)$ has the following capital gain $($loss$)$:

Short$-$term capital gain $$7,000$

Short$-$term capital loss $$2,000$

Collectibles gain $$4,000$

Unrecaptured Section $1250$ gain $$2,500$

Regular long$-$term capital gain $$5,000$

Regular long$-$term capital loss $$2,000$

Assuming Jon Snow$$s marginal tax rate is $32\%,$ determine Jon Snow$$s tax liability $[9$ points$].$