How to create two sqlite triggers for two tables without conflict?

Question

Below are my example queries:

        """
CREATE TABLE IF NOT EXISTS projects (
    Project_ID  TEXT UNIQUE,
    Initial_Project_count   TEXT,
    Additional_Project_count    TEXT,
    Start_Date  TEXT,
    End_Date    TEXT,
    Total_Project_count       TEXT,
    Total_persons  TEXT
    )"""


"""
CREATE TABLE IF NOT EXISTS persons_tb(
    Project_ID  TEXT,
    Initial_count   TEXT,
    Additional_count    TEXT,
    Total_count TEXT,
    persons TEXT,
    is_count_done   TEXT,
        count_Started_Date TEXT,
        count_End_Date TEXT
        )""",

    """
CREATE TRIGGER IF NOT EXISTS after_update_on_projects
    AFTER UPDATE
    ON projects
BEGIN
    UPDATE persons_tb
    SET count_Started_Date = NEW.Start_Date, count_End_Date = NEW.End_Date,
    Initial_count = NEW.Initial_Project_count, Additional_count = NEW.Additional_Project_count, Total_count = NEW.Total_Project_count
    WHERE Project_ID = NEW.Project_ID;
END;
""",

    """
CREATE TRIGGER IF NOT EXISTS after_update_count_pro
    AFTER UPDATE
    ON persons_tb
BEGIN
    UPDATE projects
    SET Total_persons =  Total_persons + NEW.persons
    WHERE Project_ID = NEW.Project_ID and NEW.is_count_done ="count done";
END;
"""

I want to update some columns on two tables with using triggers with after update. For example: If I update Start_Date or End_Date or Initial_Project_count on projects(table) that should be updated on persons_tb(table). And if I update persons on persons_tb(table) that should be updated on projects(table). This is working. However, the second trigger(after_update_count_pro) is also running itself automatically if first trigger doing anything. How to avoid this so the triggers will run individually.