Steps to reproduce:
1) Create product P for $1000, with 15% Tax, publish to website.
1-bis) make sure the 15% tax is "included"
2) Settings -> search 'price' -> Tax Excluded.
3) Go to website /shop page, and edit to place the Products block, and search for

Issue:
The price displayed on the product in "86.96" (correct) but the price on the product in the carousel displays "100.00"

Cause:
The price for the carousel is not fetched the same way
https://github.com/odoo/odoo/blob/e829b345f0f5e5346be416b8354c29fa9acb74a7/addons/website_sale/data/product_snippet_template_data.xml#L388



And the method does not take into account this fourth scenario. That is:
- a tax with price_include set to True
- a show_line_subtotals_tax_selection config parameter set to "tax_excluded"

Note:
There is an issue with the case of a mapping from a tax included to a tax included:
```
param_main_product_tax_included = True
param_fpos = 'to_tax_included' # mapping from 15% to 10%
```
As if the product price is 100, the tax set on the product is 15%.
```
>>> self.env['account.tax']._fix_tax_included_price_company( price, product_taxes, taxes, self.env.company.id)
86.96
```
The price would be 100/1.15 = 86.96

And when calling `taxes.compute_all(price, product=self, partner=self.env['res.partner'])` it would return
```
included = 86.96 ; excluded = 79.05
```
The base is computed by taking the initial base such as
```
100/1.15/1.1 = 79.05
```
Instead of keeping the initial base and applying the new tax percentage to compute the total included
```
base = 100/1.15 = 86.96
total_included = 86.96 * 1.10 = 95.656
amount_tax = 8.696
```
After some discussion, it turns out this problem is a known issue. To make the mapping from 'tax_included' to 'tax_included' more sensible, we'd need to make some additional changes beyond what we're addressing in this fix.

opw-3370999

closes odoo/odoo#133501

Signed-off-by: Yolann Sabaux (yosa) <yosa@odoo.com>