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If you pass 10+2 in the year 2022 then you are eligible to appear for JEE Main 2022, JEE Main 2023 and JEE Main 2023 because a candidate can appear for JEE Main for three consecutive years from the year of passing in the qualifying examination that is 10+2 or its equivalent. And you can appear for JEE Advanced for two consecutive years from the year of passing in the qualifying examination so you can appear for JEE Advanced 2022 and JEE Advanced 2023 provided you must qualify in JEE Main 2022 and JEE Main 2023 respectively. This is applicable even if you do not appear for JEE Main 2022 and JEE Advanced 2022, you can appear for JEE Main 2023 and qualify in it to appear for JEE Advanced 2023. The admission in to IIST is based on JEE Advanced score. So you can JEE Main 2023 and qualify in it to appear for JEE Advanced 2023 in order to apply for admission in to IIST.