Here’s a color palette based on your primary colors (
                            
                            #44c5f6
                        , 
                            
                            #e53838
                        , 
                            
                            #046cf1
                        ) that embodies a trustworthy, friendly, authoritative, yet approachable vibe:

### Color Palette: Trustworthy & Approachable

1. **Sky Blue**
   - **Hex Code:** 
                            
                            #A4D9E1
                        
   - **Description:** A soft and calming blue that offers a sense of tranquility and trust. This shade is approachable and friendly, perfect for creating a welcoming atmosphere.

2. **Coral Red**
   - **Hex Code:** 
                            
                            #FF6B6B
                        
   - **Description:** A lighter, more vibrant take on red that evokes warmth and friendliness. This shade maintains a sense of authority while being inviting and personable.

3. **Deep Ocean Blue**
   - **Hex Code:** 
                            
                            #0A4D8C
                        
   - **Description:** A darker, more authoritative shade of blue that is still approachable. This color conveys professionalism and trustworthiness, making it suitable for corporate settings.

4. **Soft Peach**
   - **Hex Code:** 
                            
                            #F9CBA0
                        
   - **Description:** A warm and inviting peach color that balances the cooler tones with a friendly touch. This shade softens the palette and enhances approachability.

5. **Slate Grey**
   - **Hex Code:** 
                            
                            #7D8B8C
                        
   - **Description:** A neutral grey that adds sophistication and stability to the palette. This color is authoritative without being overwhelming, providing a grounded feel.

6. **Mint Green**
   - **Hex Code:** 
                            
                            #A8E6CF
                        
   - **Description:** A fresh and revitalizing green that brings life and positivity to the palette. This shade captures friendliness and openness, enhancing the overall approachable vibe.

### Summary

This palette combines soothing and energetic colors to create a harmonious blend that feels trustworthy and approachable, while also maintaining an authoritative presence. The selected shades can work beautifully in various design contexts, from branding to web design, ensuring a welcoming yet professional feel.