Find Consecutive Date in SQL using 2 date columns

I am trying to group by all consecutive patient admission to the table. If the patient re-admitted to the hospital next day( or within 24 hours), then I need to keep only one admission stay per patient. I appreciate your help. 0 |Patient_bed_id |Patientname| Hospital_In_date| Hospital_out_Date| |-|-|-|-| |111| Lukas| 1/1/2022| 1/31/2022| |111 | Lukas | 2/1/2022| 2/28/2022| |111| Lukas| 3/1/2022| 3/31/2022| |111| Lukas| 5/25/2022| 6/2/2022| |111| Lukas| 8/1/2022| 8/20/2022| |111| Lukas| 8/21/2022| 9/10/2022| |222| Jason| 5/1/2022| 5/3/2022| |222| Jason| 6/15/2022 | 7/11/2022| |222| Jason| 7/12/2022 | 7/26/2022| |222| Jason| 9/13/2022| 9/15/2022| |222| Jason| 9/16/2022 |9/27/2022| Final table |Patient_bed_id| Patientname| Hospital_In_date| Hospital_out_Date| |-|-|-|-|- |111| Lukas| 1/1/2022| 3/31/2022| |111| Lukas| 5/25/2022| 6/2/2022| |111| Lukas| 8/1/2022| 9/10/2022| |222| Jason| 5/1/2022| 5/3/2022| |222| Jason| 6/15/2022| 7/26/2022| |222| Jason | 9/13/2022| 9/27/2022|