the information about the closing of the line - including the specific Tuesday - is at https://www.nationalrail.co.uk/engineering-works/banbury-20240727/ which reads:
Buses replace trains between Leamington Spa and Bicester Village /
Didcot Parkway from Saturday 27 to Wednesday 31 July See all service
disruptions
Engineering work details Starts 27 Jul 2024 to 31 Jul 2024
Train operators affected
Chiltern Railways CrossCountry Great Western Railway Route(s) affected
Chiltern Railways between Birmingham Moor Street and London Marylebone
CrossCountry between Manchester Piccadilly and Bournemouth and between
Newcastle and Reading
Great Western Railway between Banbury and Oxford / London Paddington
Description Engineering work is taking place between Leamington Spa
and Bicester North, closing all lines.
Chiltern Railways:
Buses will replace trains between Leamington Spa and Bicester Village
(connecting out of Oxford services).
CrossCountry:
Buses will replace trains between Leamington Spa and Didcot Parkway.
Great Western Railway:
Saturday and Sunday:
Buses will replace trains between:
Didcot Parkway and Oxford (fast).
Didcot Parkway and Oxford via Appleford, Culham and Radley.
Oxford and Banbury via Tackley, Heyford and Kings Sutton.
Monday to Wednesday:
Buses will replace trains between Oxford and Banbury via Tackley,
Heyford and Kings Sutton.
Check before you travel:
If you are travelling with CrossCountry, you can plan your journey
using the National Rail Enquiries Journey Planner
If you are travelling with Chiltern Railways or Great Western Railway,
these changes are not currently shown in the National Rail Enquiries
Journey Planner, please check back nearer to the time of travel.
Engineering work on the line tends to happen within the announced windows. Occasionally there is overrunning engineering work which can affect the first trains immediately after the window but that is not common.
If they say it is one night, I believe them. If they say it will be 5 days I believe them.
If it is an emergency closure due to some sort of incident it can become open ended.
This is a planned closure and it will be expected to run to time.
Is that the day you are concerned about? That's the only Tuesday I can see affected. Too early to know about August.