odoo-event-addons/event_website_hidden/models/event_event.py

from odoo import models, fields, api


class EventEvent(models.Model):
    _inherit = "event.event"

    website_indexed = fields.Boolean(
        string="Indexed in website",
        default=True,
        help="This event cannot be found by website suearch if unindexed.",
    )

    @api.model
    def _search_build_domain(self, domain_list, search, fields, extra=None):
        if isinstance(domain_list, (list, tuple)):
            if not any(
                any(term[0] == "website_indexed" for term in domain)
                for domain in domain_list
            ):
                domain_list.append([("website_indexed", "=", True)])
        else:
            domain_list = [[("website_indexed", "=", True)]]
        return super()._search_build_domain(domain_list, search, fields, extra)