data["date"] = query.message.textты пишешь как текст как он приходит от пользователя
и да у sqlite нет типа date2.2. Date and Time Datatype
SQLite does not have a storage class set aside for storing dates and/or times. Instead, the built-in Date And Time Functions of SQLite are capable of storing dates and times as TEXT, REAL, or INTEGER values:
TEXT as ISO8601 strings ("YYYY-MM-DD HH:MM:SS.SSS").
REAL as Julian day numbers, the number of days since noon in Greenwich on November 24, 4714 B.C. according to the proleptic Gregorian calendar.
INTEGER as Unix Time, the number of seconds since 1970-01-01 00:00:00 UTC.
Applications can choose to store dates and times in any of these formats and freely convert between formats using the built-in date and time functions.
судя по скрину там где ты это смотришь формат даты ожидается иной
