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How did the Treaty of Oliwa end the war between Sweden and the Polish-Lithuanian Commonwealth?

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Map showing Poland's territory in 1634 under the reign of Wladyslaw IV Vasa, shaded in pink and spanning from the Baltic Sea in the north to near Kyiv in the southeast. Major present-day cities such as Warsaw, Krakow, Gdansk, Vilnius, Minsk, Lwow (Lviv), Pinsk, and Kyiv are marked within the territory, with surrounding cities like Moscow, Riga, Vienna, and Budapest shown for reference. — Polish-Lithuanian Commonwealth Poland's territory in 1634, during the reign of Władysław IV Vasa.

The Treaty of Oliwa, signed in 1660, brought an end to the hostilities between the Polish-Lithuanian Commonwealth and Sweden.12

The agreement concluded the conflict by achieving the following terms:

Restoration of Status Quo: The treaty restored the territorial status quo that had existed prior to the Swedish invasion.12
Renunciation of Claims: King John II Casimir Vasa formally renounced his claims to the Swedish crown.13
Territorial Cession: As part of the settlement, the Commonwealth ceded northern Livonia to Sweden.3

Negotiated under French mediation, the treaty allowed the Commonwealth to address its outstanding differences with Sweden following the death of Charles X Gustav. While it ended the war with Sweden, the agreement is historically noted alongside the Truce of Andrusovo as marking the beginning of the decline of the Commonwealth’s international standing.132